Which of the following has 2 parallel bases that are not polygons?
a. Cone
b. Prism
c. Pyramid
d. Cylinder
To determine which of the following 3-dimensional shapes has 2 parallel bases that are not polygons, we need to understand the properties of each shape.
a. A cone is a 3-dimensional shape that has a circular base and a pointed top. Since a circle is a polygon, the base of a cone is a polygon. So, a cone does not meet the criteria of having 2 parallel bases that are not polygons.
b. A prism is a 3-dimensional shape with two parallel polygonal bases connected by rectangular faces. Both of the bases in a prism are polygons, so a prism does not fulfill the condition of having 2 parallel bases that are not polygons.
c. A pyramid is a 3-dimensional shape with a polygonal base and triangular faces that meet at a central point called the apex. The base of a pyramid is a polygon, so a pyramid also does not have 2 parallel bases that are not polygons.
d. A cylinder is a 3-dimensional shape that has two parallel circular bases connected by a curved surface. Similar to a cone, a circle is a polygon. Hence, the bases of a cylinder are polygons, and a cylinder does not satisfy the condition of having 2 parallel bases that are not polygons.
Therefore, none of the given options (a, b, c, and d) have 2 parallel bases that are not polygons.